What are the formulas for Work, KE, GPE and Power?

The figure shows the gears A, B, C, D. The minimum required diameter of the shaft is d = 25 mm.

The angular velocity of the shaft,

ω = 600 rev/min × 1/60 min/s × 2π rad/rev = 20 π rad/s

The torque exerted on the gears A, C, D are

T a = P a/ω = 6(10³)/20π = 95.49 N m

T c = P c/ω = 4(10³)/20π = 63.66 N m

T d = P d/ω = 5(10³)/20π = 79.58 N m

Segment BC of the shaft is critical as it is subjected to a greater internal torque.

τ a = T bc C/J

75 × 10⁶ = 143.23(d/2) /[ π/2 × (d/2)⁴]

d = 0.02135 m = 21.35 mm

According to observation, gear D's relative twist angle to gear B is the largest.

The requirement Ф b/d = Σ ([Ti Li)/(Ji Gi)] = 0.05

T bc L bc/ (J Gst) + T cd L cd/ (J Gst) = 0.05

0.6/ [ π/2 × (d/2)⁴ 75 × 10⁹] × (143.24 + 79.58) = 0.05

d = 0.02455 m = 24.55 mm ≈ 25 mm

Thus, the minimum required diameter of the shaft is d = 25 mm.

The question is incomplete. The complete question is 'If the shaft is made of steel with the allowable shear stress of τ a = 75 M Pa, and the relative angle of twist between any two gears cannot exceed 0.05 rad, determine the required minimum diameter d of the shaft to the nearest milli meter. The shaft is rotating at 600 rpm.'

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The missing number is 225 and the decay is the beta decay in the given reaction.

In nuclear physics, beta decay can be described as a type of radioactive decay in which a beta particle is emitted from an atomic nucleus, transforming the original nuclide. Beta decay of a neutron transforms a nuclide into a proton by the emission of an electron accompanied by an antineutrino.

The two types of beta decay are known. In beta minus (β⁻) decay, a neutron is transformed to a proton, and the process forms an electron and an electron antineutrino; while in beta plus (β⁺) decay, a proton is transformed to a neutron and the process forms a positron and an electron neutrino and β+ decay is called positron emission

[tex]^{225}Ra_{88} \longrightarrow ^0e_{-1} + ^{225}Ra_{87}[/tex]

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The formula V = π r² h or V = π R² H is used to measure the volume of a cylinder.

The volume of a cylinder is the density of the cylinder which indicates the amount of material that can be held in it or how much amount of any material can be immersed in it. To find a cylinder's volume, the formula to be used is v = π r² h (V = π R² H). In this formula, V is the volume of the cylinder; π r² represents the area of the base of the cylinder, with radius 'r'; h is the height of the cylinder.

Therefore, the given V = π r² h or V = π R² H is the formula to calculate a cylinder's volume.

"

Correct question is as follows:

What formula is this V = Πr²h or V = π R² H?

"

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Answer: Calculate the slope.

Explanation:

Answer:

B. Calculate the slope

Explanation:

The other choices, determining the y-intercept, calculating the area under the line, and determining the x-intercept, are not relevant to determining the inertial mass of the block.

To calculate how long the current must be switched on in order to copper plate the coin, we need to use the formula for the time required to deliver a certain amount of electric charge:

t = Q / I

where t is the time, Q is the electric charge, and I is the current.

In this case, the electric charge is 30 C, and the current is 100 mA. Plugging these values into the formula, we get:

t = 30 C / 100 mA

= 0.3 seconds

Therefore, you would need to leave the current switched on for 0.3 seconds in order to copper plate the coin.

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When a ball collides with a stationary ball it will cause an elastic collision.

An elastic collision is the one in which there will be no net loss of kinetic energy in the system as a result of the collision. In a head-on collision with a stationary object of the same mass, the projectile stops and the target leaves at the same velocity as if a cue ball were shot head-on at a pool table. When a moving object collides with a stationary object of the same mass, the stationary object experiences a greater change in momentum. A moving object which collides with a stationary object. A stationary object has a significantly smaller mass. Objects at rest experience greater impact forces.

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YES.instances of scope Employee travel & commuting are 2 emissions.

journeys for work. bought products and services.

Scope 3 emission are the outcome of operations on resources that the reporting company does not own or control, but which are indirectly impacted by the organization through its value chain.All sources outside of an organization's range 1 & scope 2 boundary are included in scope 3 emissions.

Although they emanate from sources that company doesn't own or control, scope 3 emissions are a byproduct of corporate operations.

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Wavelength and frequency are inversely proportional to one another.The wavelength of a wave that has a high frequency is also its shortest.

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Answer:

b warming your hands over a campfire.

Explanation:

This is thermal radiation, not heat conduction

Precursors are the building blocks or the starting materials that the body uses to synthesize neurotransmitters. The correct answer is 5. precursor.

Neurotransmitters are chemical messengers that transmit signals between nerve cells in the brain and the rest of the body.

Here,
Precursors are the building blocks or the starting materials that the body uses to synthesize neurotransmitters. The process of neurotransmitter synthesis involves a series of enzymatic reactions, where precursors are transformed into neurotransmitters and stored in synaptic vesicles.

When a nerve impulse reaches the end of a neuron, the synaptic vesicles release the neurotransmitters into the synaptic cleft, where they bind to receptors on the postsynaptic neuron and transmit the signal. The neurotransmitter molecules are then either reabsorbed by the presynaptic neuron or broken down by enzymes, such as those involved in neurotransmitter degradation.

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0.25 m is the radius of the coil. when a round flat metal coil has 180 turns and negligible resistance.

the action of defending oneself from an aggressor or refusing to accept something.

We must take the Faraday law into account in order to explain this issue.

When the magnetic field changes due to the induced emf, as indicated by the equation d/dt, the voltage equals I*R=17*6=102 V.

After a coil, the magnetic flux is as follows:

If N is equal to N*A*B, then d is equal to N*A*dB/dt, where A and N are the coil's area and number of turns.

A=*R2, where R is the coil's radius.

Finally, there is;

dФ/dt= N*π*R^2*dB/dt then

R= [dФ/dt/(N*π*dB/dt)]^1/2= [102/(180*π*3)]1/2=245.2*10^-3=≅0.25m

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The voltage of the stove with a current of 3 amperes, which run through the coiled heating element of a stove and the resistance of the element is 80 ohms, is 360 volts.

Voltage, also known as electric pressure, is the difference in electric potential between two points. In a static electric field, it corresponds to the work needed per unit of charge to move a test charge between the two points.

From the question given

resistance (R) = 80 ohms

Current (I) = 3 amperes

from Ohm's law we will use this equation

V = I * R

= 3 * 80

= 240volts.

Therefore, the voltage of the stove is 240 volts.

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The recessional velocity of the galaxy is 2.70×10⁻³km/s

Simply put, recessional velocity is the speed at which an item is moving away from the observer. The Doppler Effect and redshift both depend heavily on this idea. The recessional velocity in the Doppler Effect can be determined by extrapolating the wavelength of the waves from their rest wavelength.

We are given that,

Velocity = v = 25000 km/s

Distance = d = 108 light years

Hubble's law states: If the galaxy's moving velocity is given by v, and its distance from Earth is given by d, and H is the Hubble constant, we can write as,

v = H×d

v = (25 km/s per million light years)×108 light years

v = (2.5×10⁻⁵ km/s per light years)×108 light years

v = 2.70×10⁻³ km/s

Therefore, the recessional velocity of the galaxy is 2.70×10⁻³ km/s.

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The pin will accelerate up and to the left.

The net force is in upward direction and to the left direction. So, pin will have acceleration up and left.

In vertical direction,

upward force = 3 N,

Downward force = 1 N

So, net upward force is = 3-1 N = 2 N

In horizontal direction,

force to the right is = 5 N

Force to the left is = 8 N

So, net force to the left is = 8-5 N = 3 N.

Net force is an unbalanced force in the direction of the greater force if the two forces are acting on an object in the opposite direction.

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Find the ski race's end speed in m/s and the time it took to show that, shockingly, obtaining a running start offers very little advantage.

Find the ultimate speed and the time required for a skier to travel 60.0 metres over a 25-degree slope to illustrate this. Two times 70 divided by 2.5 metres per second for the initial speed plus 26.3106 metres per second for the end speed is the formula we used to solve for t. The entire amount of time required to descend the slope is 4.86 seconds. advantage Skis slide because the tiny layer of snow beneath them melts as a result of friction converting your kinetic energy (skiing) into thermal energy (heat). In downhill skiing, for instance, when the athlete is propelled down

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The magnitude of the average voltage induced in the coil is 12.5 volt.

It is the creation of a potential difference in a coil as a result of variations in the magnetic flux flowing through it. To put it another way, it is said that electromotive force, or EMF, is created when the flux connecting with a conductor or coil changes.

Given that: a circular coil with an area of 0.0500 m^2 is wrapped with 500 turns of wire and the magnetic field changes in value from -0.100 T to 0.150 T in an interval of 0.500 s.

Hence, the magnitude of the average voltage induced in the coil is =

N ( B₂ - B₁) A/t

= 500(0.150 - (-0.100))0.0500/0.500 volt.

= 12.5 volt.

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The temperature of the upper disk T1​;

Let's now think about the net rate of radiation from the upper disk. If we take a look at the given figure we will notice that the heat is transferred by radiation from surface A1​ to both lower disk of surface A2and the surroundings. So, we will write the net rate of heat transfer from A1as:

Q˙​1​​=Q˙​12​+Q˙​1,surr​

where: σ=5.67⋅10−8 W m2K2σ=5.67⋅10−8 m2K2 W​.

According to eq. (2), the unknown values that have to be determined in order to calculate T2 are:

 Surface area A1A1​;

 The view factors F12F12​ and F1,surrF1,surr​.

The surface area A1A1​ is the surface of the disk, calculated using the well-known equation:

A1=D12π4=0.22π4=0.0314 m2

This was easy. Let's move on to a little bit more difficult part, which is determining the view factors.

We will now calculate the view factor F12F12​. Since surfaces A1A1​ and A2A2​ are coaxial parallel disks, the view factor will be determined using the following expression:

Remember that distance between the disks is given to be:

L=0.2 m

L=0.2 m

Therefore, we will calculate SS as:

S=1+1+(0.20.2)2(0.10.2)2=1+1+0.520.52=9

Now, let's substitute values to eq. (3) and determine the view factor from the upper to the lower disk:

F12​​=21​⎝

⎛​9−[92−4(0.10.2​)2]1/2⎠

⎞​=0.47​

Next, by applying the summation rule for surfaceA1A1​, F1, surrF1, surr​ will be determined:

F11+F12+F1, surr=1F1, surr=1−F11−F12=1−0−0.47=0.53

Note: The disk is a plate surface that can not see itself. Therefore, the view factor from the plate surface to itself is equal to zero: F11=0F11​=0.

Now, that we have all the values we need, by substituting them into eq. (2), it follows:

17.5=1⋅5.67⋅10−8⋅0.0314⋅[0.47⋅(T14−5004)+0.53⋅(T14−3004)]17.5=0.178⋅10−8⋅[0.47⋅(T14−5004)+0.53⋅(T14−3004)]

17.517.5​=1⋅5.67⋅10−8⋅0.0314⋅[0.47⋅(T14​−5004)+0.53⋅(T14​−3004)]=0.178⋅10−8⋅[0.47⋅(T14​−5004)+0.53⋅(T14​−3004)]​

Finally, if we rearrange the previous equation, we will calculate the temperature of the upper disk:

0.08366⋅10−8⋅T14+0.09434⋅10−8⋅T14=17.5+49.94+7.640.178⋅10−8⋅T14=75.08T14=75.080.178⋅10−8T1=421.8⋅1084=453.2 K

0.08366⋅10−8⋅T14​+0.09434⋅10−8⋅T14​0.178⋅10−8⋅T14​T14​T1​​=17.5+49.94+7.64=75.08=0.178⋅10−875.08​=4421.8⋅108

​=453.2 K​​

Therefore, the required value of T1​ is obtained and our problem is solved.

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The temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement is radians per second per second.

α = -6.6 rad/s²/0.275

α = -20.74rad/s²/0.275

t = ω - ω°/α

t = 0rad/s - 93rad/s/ -20.74rad/s

t = 4.48s

θ = (93rad/s).(4.48s) + 1/2× -(20.74rad/s) × (4.48s)

θ = 416.64 - 45.46

θ = 371.18 rad

n = θ/2π

n = 371.18 × 7 /22

n = 118.09

t = 4.48s

v° = 93rad/s × 0.275 m

v° = 25.575 m/s

s = (25.575m/s) × (4.48s) +1/2 × (-6.67m/s) × (4.48s)

s = 114.57 + 14.94

s = 129.51m

v° = 25.575 m/s

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The density of the tennis ball = 0.38 g/cm³

The density of the golf ball = 1.13 g/cm³

The mass of the tennis ball = 56 g

The volume of the tennis ball = 149 cm³

The density of the tennis ball can be found using the formula,

            d = m/v

where d is the density

          m is the mass

          v is the volume

Let us substitute the known values in the above equation, we get

           d = 56 / 149

              = 0.38 g/cm³

The mass of the golf ball = 45.9 g

The volume of the golf ball = 40.68 cm³

The density of the golf ball is

               d = m/v

Let us substitute the known values in the above equation, we get

               d = 45.9 / 40.68

                  = 1.13 g/cm³

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Answer: tennis ball 0.07   golf ball 1.15  

Explanation:

The three types of irony in the crucible are:

Irony is when there’s a contradiction between expectation and reality. It is a commonly used literary device.

Verbal irony:

Verbal irony is generally found in plays, speeches, and literature when someone says something that is extremely different from the reality of the situation. Verbal irony is used intentionally by the speaker or the character.

Dramatic irony:

We can find  dramatic irony in plays, TV shows, movies. It occurs when we know something that the actor does not.

Situational irony:

Situational irony describes a complete difference between what is expected to happen and  what actually happen.

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The relation between the amplitude of a wave and its speed is an important multiple choice question (MCQ) in physics and other related sciences.

Amplitude is a measure of the magnitude of a wave or signal. It is the maximum absolute value of the wave or signal over a given period of time and is usually measured in decibels (dB). Amplitude also refers to the maximum displacement of a point on a wave from its rest position. In sound, amplitude is often referred to as “volume” or “loudness”.
The amplitude of a wave is the maximum displacement of a particle from its equilibrium position and is measured in meters (m). The speed of a wave is the distance it travels in a given amount of time and is measured in meters per second (m/s).
As the amplitude of a wave increases, its speed remains constant. This is due to the fact that the speed of a wave is determined by the medium in which it is traveling, not its amplitude. For example, the speed of sound in air is the same regardless of how loud it is. The speed of light in a vacuum is also constant regardless of the intensity of the light. This means that the amplitude of a wave does not affect its speed.
However, the amplitude of a wave does affect its energy. The higher the amplitude of a wave, the more energy it carries. This is because the amplitude of a wave is directly related to the amount of energy it contains. This is why it is important to remember that the amplitude of a wave does not affect its speed, but it does affect its energy.
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Answer: No

Explanation:

Frequency is how often each wave passes

Wavelength is the physical measure of the length of each wave

The wavelength of a wave is the distance or length between its two subsequent crests or troughs.

A wave's wavelength gives information about its length. The wavelength is the distance between the "crest" (top) of one wave and the crest of the following wave. The wavelength can also be determined by measuring from one wave's "trough" (bottom) to the following wave's "trough," with the same results.

Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape. The distance between peaks is referred to as the "wavelength" (high points).

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When the audience is aware of plot developments before the characters do, they are forced to anticipate, fear, and wish the characters would learn the truth sooner.

Dramatic irony works well for building tension and suspense. The viewer always has an advantage over the characters. As a result, there is inescapable tension as the audience eagerly awaits a catastrophe or conflict that they know is about to happen.

Dramatic irony is a technique used by authors to capture and hold the interest of their readers. Curiosity is sparked by it. Additionally, it raises tension by making the spectator fear the moment when characters discover the information they already know.

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The velocities of the skaters when the ball is caught is 0.02m/s.

The mass of the skater is  m1 = 50kg

The mass of the ball is m2=  0.02kg

The velocity of the ball is v1= 5m/s

According to the law of conservation of the momentum expression for finding the another skater velocity when catching the ball is ,

V2 =  M2V1/ (m1 + m2 )

Substituting the values, we have

V2 = 0.02m/s

In conclusion, Velocity is described as the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

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The ratio of the kinetic energy of a 2000 kg mass to the kinetic energy of a 500 kg mass traveling at the same speed is 4.

The ratio of the kinetic energy of a 2000 kg mass to the kinetic energy of a 500 kg mass traveling at the same speed can be calculated using the formula for kinetic energy:

where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

If we let KE1 be the kinetic energy of the 2000 kg mass and KE2 be the kinetic energy of the 500 kg mass, we can write:

KE1/KE2 = (0.5 * 2000 kg * v^2) / (0.5 * 500 kg * v^2)

             = (2000 kg) / (500 kg)

             = 4

Therefore, the ratio of the kinetic energy of the 2000 kg mass to the kinetic energy of the 500 kg mass is 4. This means that the 2000 kg mass has four times as much kinetic energy as the 500 kg mass, assuming they are traveling at the same speed.

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One child has blonde hair like their mother, and their sibling has brown hair like their father; this is due to genetics. A baby's gender and the reasons why some diseases run in families are also influenced by DNA.

Many of your characteristics, like your skin and hair colors, are determined by genes that are passed down to you. Perhaps Emma's mother carries both the brown and red hair genes, and she gave Emma the red hair gene.

An alteration to just one copy of the gene results in the autosomal dominant inheritance pattern. Mutations in both copies of the gene pair create the autosomal recessive inheritance pattern.

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Enthalpy Changes the overall energy change in the substance portrayed in the graph at  48°C which is the state of equillibrium.

Mass (m) = 0.3 Kg

Initial temperature (T1) = 20°C

Heat (Q) added = 35 KJ

Specific heat capacity (C) = 4.18 KJ/Kg°C

Final temperature (T2)

The final temperature of water can be obtained as follow:

Q = MC(T2 – T1)

35 = 0.3 x 4.18 (T2 – 20)

35 = 1.254 (T2 – 20)

Clear the bracket

35 = 1.254T2 – 25.08

Collect like terms

1254T2 = 35 + 25.08

1.254T2 = 60.08

Divide both side by the coefficient of T2 i.e 1.254

T2 = 60.08/1.254

T2 = 47.9 ≈ 48°C

Therefore, the final temperature of the water is 48°C.

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The volume of a block that has length of 4cm, width 2cm, and height 1cm  in meters is 8 * [tex]10^{-6[/tex] m³.

How to calculate the volume of this block in meters?

The volume of block is basically multiplying the length, width, and height. Also, we can write the formula for volume in terms of the area of the base. The area of the base, B, is equal to length times width.

Given from the question
Length = 4cm = 0.04m

width = 2cm = 0.02m

height = 1cm = 0.01m

Volume of the block = length * width * height

= 0.04 * 0.02 * 0.01

= 8 * [tex]10^{-6[/tex] m³

Therefore, the volume of the block is 8 * [tex]10^{-6[/tex] m³.

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The wave length of first line of Lyman series is  121.5 nm in  Ultraviolet radiation.

The wave length of first line of Lyman series is

1/λ = R (1/1² - 1/2²) = 1.097 × [tex]10^{7}[/tex](1 - 1/4)

λ = 121.5 nm

b) Ultraviolet.

Sunlight and man-made sources, such tanning beds, both release non-ionizing radiation known as ultraviolet radiation. It can be risky to one's health even if it offers some advantages to humans, such as the production of vitamin D. UV radiation from the sun is defended against by broad-spectrum sunscreen. Most UVA radiation reaches the surface of the Earth; the atmosphere does nothing to block these rays. In addition to causing eye damage and skin aging, UVA radiation can weaken your body's immune system. To destroy bacteria, produce luminous effects, cure inks and resins, cure suntan lotion, cure inks and resins, and cure inks and resins, UV radiation is widely utilized in industrial processes as well as in medical and dental services. Various UV applications call for varied UV wavelengths and intensities

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